# Your question: What is the expected sum for rolling three fair standard dice once?

Contents

## What is the probability of rolling a 3 on a standard dice?

Two (6-sided) dice roll probability table

Roll a… Probability
3 3/36 (8.333%)
4 6/36 (16.667%)
5 10/36 (27.778%)
6 15/36 (41.667%)

## What is the expected sum of three dice?

There are 216 possible outcomes when three dice are thrown. Since the dice are ‘fair’ each of them has an equal probability. There are 27 different combinations that produce a sum of 10 (1–3–6, 2–2–6, etc).

## What is the probability of rolling a 5 and 3?

What is the probability of rolling a 3 or a 5? If you mean one standard six-sided die, probability of 3 is 1/6; probability of 5 is 1/6; so probability of either is 1/6 + 1/6 = 1/3.

## What is the probability of you rolling a sum of 3?

One can get a sum of 3 in two ways: (1,2) or (2,1). These are two of the 36 possible rolls, so the probability is 2/36 or 1/18 or 5.55% making the usual assumptions (unbiased dice, outcomes on the two die are independent).

## How many ways can 3 dice fall?

We can list all possible outcomes for the three dice and add a fourth column that contains a 0 if the event is not in A and contains a 1 if the event is in A. By simple counting, we find that there are 15 outcomes in event A, out of the total of 216 possible outcomes.

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## What is the probability of rolling a sum of 4?

Probabilities for the two dice

Total Number of combinations Probability
2 1 2.78%
3 2 5.56%
4 3 8.33%
5 4 11.11% 